Quandaries and Queries


My name is Santos. I am a High School student who is interesting in solving the following question:

Does there exist a set of numbers whose sum is 1, and the sum of whose squares is less than 0,01?.

Thanks for your help



Hi Santos,

Consider a set that has 101 copies of 1/101.
Sum of elements of set = 101 (1/101) = 1
Sum of squares of elements of set = 101 (1/101)2 = 1/101 < 0,01



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